**Appendix B**

$$\mathbf{L}\_{\mathbf{c}} = \begin{bmatrix} 10z\_{\mathrm{f}}0000000000 \\ 010z\_{\mathrm{f}}00000000 \\ 000000000001 \\ 000010z\_{\mathrm{c}}000000 \\ 0000010z\_{\mathrm{c}}00000 \\ 000000000001 \\ 0000000010z\_{\mathrm{b}}00 \\ 00000000010z\_{\mathrm{b}}0 \\ 000000000001 \end{bmatrix}$$
